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| 1999 | Dipl. Math., TU Chemnitz | | 2003 | Dr. rer. nat., TU Chemnitz | | 2003 - 2008 | Postdoc, RICAM/JKU Linz, Austria | | 2008 | Habilitation (Priv.-Doz.), JKU Linz, Austria | | 2008 - 2010 | Senior-Postdoc, RICAM Linz, Austria | | Since 2011 | Professor (C3), University of Bonn |
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My main research area is the analysis and implementation of fast solution algorithms for the approximate solution of boundary value problems of elliptic partial differential equations. On the one hand, this includes efficient discretization schemes based on  finite elements, see e.g. [1] and [2] for optimal control problems. On the other hand, the solution of the discretized problem has to be done very fast. This requires the construction of suitable quasiorthogonal basis functions on triangular and tetrahedral finite element meshes [3], as well as efficient solvers based on multilevel and domain decomposition techniques [4],[5].
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FWF-project P20121-N18, “Fast hp-solvers for elliptic and mixed problems”
Project leader, 2008 - 2011, 1 PhD position
DFG Collaborative Research Center SFB 1060 “The Mathematics of Emergent Effects”, Project B7
together with Mario Bebendorf, 2013 - 2015, 1 PhD position
FWF-project P23484-N18, “hp-FEM for optimal control problems”
Co-project leader, 2011 - 2016, 2 PhD positions together with D. Wachsmuth
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Research Area B
I started in Bonn in January, 2011.
One research area of the last years was the development of interface concentrated finite element solvers [1] and the application of interface concentrated finite element methods for discretizations of optimal control problems with Neumann boundary control [2]. |
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[ 1] Sven Beuchler, Tino Eibner, Ulrich Langer
Primal and dual interface concentrated iterative substructuring methods
SIAM J. Numer. Anal. , 46: (6): 2818--2842
2008
DOI: 10.1137/070691723[ 2] Sven Beuchler, Clemens Pechstein, Daniel Wachsmuth
Boundary concentrated finite elements for optimal boundary control problems of elliptic PDEs
Comput. Optim. Appl. , 51: (2): 883--908
2012
DOI: 10.1007/s10589-010-9370-2[ 3] S. Beuchler, J. Schöberl
New shape functions for triangular p-FEM using integrated Jacobi polynomials
Numer. Math. , 103: (3): 339--366
2006
DOI: 10.1007/s00211-006-0681-2[ 4] Sven Beuchler
Wavelet solvers for hp-FEM discretizations in 3D using hexahedral elements
Comput. Methods Appl. Mech. Engrg. , 198: (13-14): 1138--1148
2009
DOI: 10.1016/j.cma.2008.06.014[ 5] Sven Beuchler, Dietrich Braess
Improvements for some condition number estimates for preconditioned system in p-FEM
Numer. Linear Algebra Appl. , 13: (7): 573--588
2006
DOI: 10.1002/nla.489[ 6] S. Beuchler, R. Schneider, C. Schwab
Multiresolution weighted norm equivalences and applications
Numer. Math. , 98: (1): 67--97
2004
DOI: 10.1007/s00211-003-0491-8[ 7] Sven Beuchler, Sergey V. Nepomnyaschikh
Overlapping additive Schwarz preconditioners for elliptic problems with degenerate locally anisotropic coefficients
SIAM J. Numer. Anal. , 45: (6): 2321--2344
2007
DOI: 10.1137/060675678[ 8] S. Beuchler, K. Hofer, D. Wachsmuth, J.-E. Wurst
Boundary concentrated finite elements for optimal control problems with distributed observation
Comput. Optim. Appl. , 62: (1): 31--65
2015
DOI: 10.1007/s10589-015-9737-5[ 9] Sven Beuchler, Veronika Pillwein, Sabine Zaglmayr
Sparsity optimized high order finite element functions for {H(div)} on simplices
Numer. Math. , 122: (2): 197--225
2012
DOI: 10.1007/s00211-012-0461-0[ 10] Sven Beuchler, Veronika Pillwein, Sabine Zaglmayr
Sparsity optimized high order finite element functions for H(curl) on tetrahedra
Adv. in Appl. Math. , 50: (5): 749--769
2013
DOI: 10.1016/j.aam.2012.11.004[ 11] Sven Beuchler
Multigrid solver for the inner problem in domain decomposition methods for P-FEM
SIAM J. Numer. Anal. , 40: (3): 928--944
2002
DOI: 10.1137/S0036142901393851 |
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| 2011 | HOFEIM 2011: Higher Order Finite Element and Isogeometric Methods, Krakow, Poland |
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Katharina Hofer (current PhD student, 2012 - 2016)
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- Master theses: 3
- PhD theses: 1
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